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Consider a firm with production function given by f(x1, x2) = (x1)^1/4 (x2)^1/2 : Assume the...

Consider a firm with production function given by f(x1, x2) = (x1)^1/4 (x2)^1/2 :

Assume the prices of inputs 1 and 2 are w1 and w2, respectively, and the market price of the product is p.

(a) Find the levels of the inputs that maximize the profits of the firm (X1, X2)

(b) Derive the supply function of the firm (i.e., y = f (x 1 ; x 2 ))

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